Dropped my 15" MBP now it doesn't charge

I dropped my MBP last Friday and there was a small dent near the magsafe port. It still worked fine until the battery died. After, the battery wouldn't charge anymore and my MBP wouldn't switch on even with the adapter connected. The magsafe light still stayed green though.

I took it to an Apple store and they told me the logic board was damaged and it would cost 45,000 Philippine pesos to replace (around $1,000). That's too much for me. I was wondering if I had any other alternatives, like if I could fix it myself. I feel that the problem's just with the magsafe port area and not the entire board.

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